| We have performed calculation of the segmental order parameter (second moment of orientation distribution function) of flexible polymer chains in good solvent with fixed end-to-end distance and fixed segment length. We formulated a dimensional regularization approach to the renormalization group treatment of polymer chain with excluded volume interaction in real chain conformation space where monomers are specified by their spatial positions along the chain and the polymers can be taken to be monodisperse. The theory is presented both in terms of the bare perturbation field theory expansions and to lowest order in epsilon=4-d expansions, where d is the spatial dimensionality. The obtained results indicate that distribution of segmental order is not homogeneous along the chain as expected for ideal Gaussian statistics. Segmental order is reduced towards the chain ends. This results are in agreement with computer simulation studies. |
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